#include
#include
using namespace std;
int main()
{
int redovi, koloni;
cin >> redovi >> koloni;
char lavirint[redovi][koloni];
int poseteno[redovi][koloni];
int si, sj;
int ai, aj;
int bi, bj;
int pi, pj;
for(int i = 0; i < redovi; i++) {
for(int j = 0; j < koloni; j++) {
cin >> lavirint[i][j];
if(lavirint[i][j] == 'S') {
si = i;
sj = j;
}
if(lavirint[i][j] == 'A') {
ai = i;
aj = j;
}
if(lavirint[i][j] == 'B') {
bi = i;
bj = j;
}
if(lavirint[i][j] == 'P') {
pi = i;
pj = j;
}
poseteno[i][j] = 0;
}
}
queue Q;
Q.push(si);
Q.push(sj);
Q.push(0);
int pat1 = 0;
while(Q.size() > 0) {
int ci = Q.front();
Q.pop();
int cj = Q.front();
Q.pop();
int cekori = Q.front();
Q.pop();
if(lavirint[ci][cj] == 'A') {
pat1 += cekori;
break;
}
if(ci + 1 < redovi and lavirint[ci + 1][cj] != '#' and poseteno[ci + 1][cj] == 0) {
Q.push(ci + 1);
Q.push(cj);
Q.push(cekori + 1);
poseteno[ci + 1][cj] = 1;
}
if(ci - 1 >= 0 and lavirint[ci - 1][cj] != '#' and poseteno[ci - 1][cj] == 0) {
Q.push(ci - 1);
Q.push(cj);
Q.push(cekori + 1);
poseteno[ci - 1][cj] = 1;
}
if(cj + 1 < koloni and lavirint[ci][cj + 1] != '#' and poseteno[ci][cj + 1] == 0) {
Q.push(ci);
Q.push(cj + 1);
Q.push(cekori + 1);
poseteno[ci][cj + 1] = 1;
}
if(cj - 1 >= 0 and lavirint[ci][cj - 1] != '#' and poseteno[ci][cj - 1] == 0) {
Q.push(ci);
Q.push(cj - 1);
Q.push(cekori + 1);
poseteno[ci][cj - 1] = 1;
}
}
for(int i = 0; i < redovi; i++) {
for(int j = 0; j < koloni; j++) {
poseteno[i][j] = 0;
}
}
queue Q1;
Q1.push(ai);
Q1.push(aj);
Q1.push(0);
poseteno[ai][aj] = 1;
while(Q1.size() > 0) {
int ci = Q1.front();
Q1.pop();
int cj = Q1.front();
Q1.pop();
int cekori = Q1.front();
Q1.pop();
if(lavirint[ci][cj] == 'P') {
pat1 += cekori;
break;
}
if(ci + 1 < redovi and lavirint[ci + 1][cj] != '#' and poseteno[ci + 1][cj] == 0) {
Q1.push(ci + 1);
Q1.push(cj);
Q1.push(cekori + 1);
poseteno[ci + 1][cj] = 1;
}
if(ci - 1 >= 0 and lavirint[ci - 1][cj] != '#' and poseteno[ci - 1][cj] == 0) {
Q1.push(ci - 1);
Q1.push(cj);
Q1.push(cekori + 1);
poseteno[ci - 1][cj] = 1;
}
if(cj + 1 < koloni and lavirint[ci][cj + 1] != '#' and poseteno[ci][cj + 1] == 0) {
Q1.push(ci);
Q1.push(cj + 1);
Q1.push(cekori + 1);
poseteno[ci][cj + 1] = 1;
}
if(cj - 1 >= 0 and lavirint[ci][cj - 1] != '#' and poseteno[ci][cj - 1] == 0) {
Q1.push(ci);
Q1.push(cj - 1);
Q1.push(cekori + 1);
poseteno[ci][cj - 1] = 1;
}
}
for(int i = 0; i < redovi; i++) {
for(int j = 0; j < koloni; j++) {
poseteno[i][j] = 0;
}
}
queue Q2;
Q2.push(si);
Q2.push(sj);
Q2.push(0);
poseteno[si][sj] = 1;
int pat2 = 0;
while(Q2.size() > 0) {
int ci = Q2.front();
Q2.pop();
int cj = Q2.front();
Q2.pop();
int cekori = Q2.front();
Q2.pop();
if(lavirint[ci][cj] == 'B') {
pat2 += cekori;
break;
}
if(ci + 1 < redovi and lavirint[ci + 1][cj] != '#' and poseteno[ci + 1][cj] == 0) {
Q2.push(ci + 1);
Q2.push(cj);
Q2.push(cekori + 1);
poseteno[ci + 1][cj] = 1;
}
if(ci - 1 >= 0 and lavirint[ci - 1][cj] != '#' and poseteno[ci - 1][cj] == 0) {
Q2.push(ci - 1);
Q2.push(cj);
Q2.push(cekori + 1);
poseteno[ci - 1][cj] = 1;
}
if(cj + 1 < koloni and lavirint[ci][cj + 1] != '#' and poseteno[ci][cj + 1] == 0) {
Q2.push(ci);
Q2.push(cj + 1);
Q2.push(cekori + 1);
poseteno[ci][cj + 1] = 1;
}
if(cj - 1 >= 0 and lavirint[ci][cj - 1] != '#' and poseteno[ci][cj - 1] == 0) {
Q2.push(ci);
Q2.push(cj - 1);
Q2.push(cekori + 1);
poseteno[ci][cj - 1] = 1;
}
}
for(int i = 0; i < redovi; i++) {
for(int j = 0; j < koloni; j++) {
poseteno[i][j] = 0;
}
}
queue Q3;
Q3.push(bi);
Q3.push(bj);
Q3.push(0);
poseteno[bi][bj] = 1;
while(Q3.size() > 0) {
int ci = Q3.front();
Q3.pop();
int cj = Q3.front();
Q3.pop();
int cekori = Q3.front();
Q3.pop();
if(lavirint[ci][cj] == 'P') {
pat2 += cekori;
break;
}
if(ci + 1 < redovi and lavirint[ci + 1][cj] != '#' and poseteno[ci + 1][cj] == 0) {
Q3.push(ci + 1);
Q3.push(cj);
Q3.push(cekori + 1);
poseteno[ci + 1][cj] = 1;
}
if(ci - 1 >= 0 and lavirint[ci - 1][cj] != '#' and poseteno[ci - 1][cj] == 0) {
Q3.push(ci - 1);
Q3.push(cj);
Q3.push(cekori + 1);
poseteno[ci - 1][cj] = 1;
}
if(cj + 1 < koloni and lavirint[ci][cj + 1] != '#' and poseteno[ci][cj + 1] == 0) {
Q3.push(ci);
Q3.push(cj + 1);
Q3.push(cekori + 1);
poseteno[ci][cj + 1] = 1;
}
if(cj - 1 >= 0 and lavirint[ci][cj - 1] != '#' and poseteno[ci][cj - 1] == 0) {
Q3.push(ci);
Q3.push(cj - 1);
Q3.push(cekori + 1);
poseteno[ci][cj - 1] = 1;
}
}
if(pat1 < pat2) {
cout << pat1 << endl;
}
else {
cout << pat2 << endl;
}
return 0;
}
/*
8 8
S...#..A
........
...#P...
B.......
##......
########
........
........
**/